Three men A,B and C complete a work in 10 days, 12 days and 15 days respectively. All three of them starts the work together. After 2 days A left and after next 2 days C also left. Find in how many more day's whole work will be completed?
Find the Least Common Multiple (LCM) of the time taken by A, B, and C:
Time: A = 10 days, B = 12 days, C = 15 days.
Total Work (LCM of 10, 12, 15): 60 units.
Now, calculate how many units each person completes per day (Efficiency):
Efficiency of A ($E_A$): $60 / 10 = \mathbf{6\text{ units/day}}$
Efficiency of B ($E_B$): $60 / 12 = \mathbf{5\text{ units/day}}$
Efficiency of C ($E_C$): $60 / 15 = \mathbf{4\text{ units/day}}$
Combined Efficiency: $6 + 5 + 4 = 15\text{ units/day}$.
Work done in 2 days: $15 \times 2 = \mathbf{30\text{ units}}$.
Combined Efficiency (B + C): $5 + 4 = 9\text{ units/day}$.
Work done in 2 days: $9 \times 2 = \mathbf{18\text{ units}}$.
$30\text{ units} + 18\text{ units} = \mathbf{48\text{ units}}$.
Remaining Work: $60\text{ units} - 48\text{ units} = \mathbf{12\text{ units}}$.
After the 4th day, C also leaves, leaving only B to finish the work.
$$\text{Time} = \frac{\text{Remaining Work}}{\text{Efficiency of B}} = \frac{12}{5} = \mathbf{2.4\text{ days}}$$
Answer:
The remaining work will be completed in 2.4 more days.
(The total time for the entire project would be $2 + 2 + 2.4 = 6.4\text{ days}$).
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Question ID: 11300
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Choose the option that correctly converts the following sentence into the passive voice:
The committee will announce the results tomorrow.
The correct answer is A) The results will be announced by the committee tomorrow.
To convert a sentence from Active to Passive voice in the Future Simple tense, you must follow these structural changes:
Object becomes Subject: "The results" moves to the beginning.
Verb Transformation: The active form (will + verb) becomes will + be + past participle (V3).
Announce becomes will be announced.
Subject becomes Agent: "The committee" is moved to the end, usually preceded by the preposition "by."
Time Expression: "Tomorrow" remains at the end to provide context.
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Question ID: 11299
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Choose the option that correctly completes the sentence:
She is proficient ______ French and German.
The correct option to complete the sentence is in.
Full Sentence: She is proficient in French and German.
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Question ID: 11298
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The following sentence has an error. Identify the part that contains the error. The students (A) has submitted (B) their assignments (C) before the deadline (D).
The error is in part (B) has submitted.
This is a Subject-Verb Agreement error.
The Subject: "The students" is a plural noun.
The Rule: In the present perfect tense, plural subjects must be paired with the auxiliary verb "have," while singular subjects (he, she, it) use "has."
The Correction: The sentence should read: "The students have submitted their assignments before the deadline."
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Question ID: 11297
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Rearrange the following sentences to form a coherent paragraph:
I. She practiced every day to improve her skills.
II. As a result, she won the competition.
III. She wanted to become a professional dancer.
IV. Her dedication impressed her teachers.
Choose the correct order:
To form a coherent paragraph:
Start with the goal/intent โ III (She wanted to become a professional dancer)
Then show effort โ I (She practiced every day)
Follow with effect of effort โ IV (Her dedication impressed her teachers)
End with final result โ II (She won the competition)
III โ I โ IV โ II
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Question ID: 11296
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Rearrange the following sentences to form a meaningful paragraph:
I. He worked hard to achieve his goals.
II. Success did not come easily to him.
III. Eventually, his efforts paid off.
IV. From a young age, he was determined to succeed.
Choose the correct order:
To form a logical paragraph:
Start with background/introduction โ IV (determination from a young age)
Then mention difficulty โ II (success did not come easily)
Follow with effort โ I (he worked hard)
End with result โ III (efforts paid off)
IV โ II โ I โ III
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Question ID: 11295
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Choose the option that correctly converts the following sentence into indirect speech:
The Professor said, "I will review your thesis tomorrow."
The correct conversion into indirect speech is: The Professor said that he would review my thesis the next day.
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Question ID: 11294
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Choose the option that best expresses a logical deduction about a past event.
Analysis of Option C: The use of "must have" indicates a near-certain conclusion based on evidence about something that happened in the past. If the experiment failed or the results are wrong, the logical deduction is: "They must have overlooked the data."
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Question ID: 11293
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Choose the sentence in which the use of articles is grammatically and contextually correct.
The correct answer is:
B) He was appointed the head of department after an extensive review process.
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Question ID: 11292
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Identify the sentence with a clear and unambiguous pronoun reference.
Option D: โAfter the report was revised, it was criticized by the editor.โ
Here, โitโ clearly refers to โthe reportโ. Even though โrevisedโ is mentioned, the noun hasnโt changedโthereโs only one logical referent, so itโs considered unambiguous in standard grammar tests.
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Question ID: 11291
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